Absence of Solutions for Some Nonhomogeneous Elliptic Inequalities
- Authors: Galakhov E.I.1, Salieva O.A.1
-
Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 65, No 4 (2019): Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
- Pages: 605-612
- Section: New Results
- URL: https://journals.rudn.ru/CMFD/article/view/23052
- DOI: https://doi.org/10.22363/2413-3639-2019-65-4-605-612
Cite item
Full Text
Abstract
By means of the modified method of test functions, we obtain sufficient conditions of absence of nontrivial solutions for some classes of semilinear elliptic inequalities of higher order and quasilinear elliptic inequalities containing nonhomogeneous terms (independent of the unknown function).
About the authors
E. I. Galakhov
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: galakhov@rambler.ru
Moscow, Russia
O. A. Salieva
Peoples’ Friendship University of Russia (RUDN University)
Email: olga.a.salieva@gmail.com
Moscow, Russia
References
- Митидиери Э., Похожаев С.И. Теоремы Лиувилля для некоторых классов нелинейных нелокальных задач// Тр. МИАН. - 2005. -248. - С. 158-178.
- Похожаев С.И. Существенно нелинейные емкости, порожденные дифференциальными операторами// Докл. РАН. - 1997. -357. - С. 592-594.
- Galaktionov V., Mitidieri E., Pohozaev S. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrodinger equations. - Boca Raton: Chapman and Hall/CRC, 2014.¨
- Galakhov E., Salieva O. On blow-up of solutions to differential inequalities with singularities on unbounded sets// J. Math. Anal. Appl. - 2013. -408. - С. 102-113.
- Salieva O. On nonexistence of solutions to some nonlinear parabolic inequalities// Commun. Pure Appl. Anal. - 2017. -16, № 3. - С. 843-853.
